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GMAT/Data Sufficiency - Nothing New Under the Sun
Nothing New Under the Sun
What is the value of the integer n?
(1)
(2) is divisible by 3
(A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) Each statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient
ОТВЕТЫ И КОММЕНТАРИИ
Решение
Factorial notation is a shorthand notation. Write out statement (1) in its expanded form:
This does not provide any useful information about the value of n.
Statement (2) can be rearranged and factored as follows:
This is a set of three consecutive integers. Any set of three consecutive integers must contain one multiple of three. Therefore, it must be divisible by three. This does not provide any useful information about the value of n either.
Both statements are true for all integers; therefore, they do not provide sufficient information to figure out the value of n.
The correct answer is E: Statements (1) and (2) TOGETHER are NOT sufficient.